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Field Lines in Different Scenarios

wo identical ...

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wo identical infinite positive line charges areplaced along the lines X ta in the x-y plane. Apositive point charge placed at origin is restrictedto move along x-axis. Its equilibrium isx-ax=+a(1) Unstable(2) Stable3 Neutral(4) None of these

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Q. Assertion :Consider two identical charges placed distance

2 d

apart, along x-axis. The equilibrium of a positive test charge placed at the point

O

midway between them is stable for displacements along the x-axis. Reason: Force on test charge is zero.

Q. A charge of magnitude

Q

is placed at the origin. A second identical charge is placed at the position

x = d

along the x-axis. Other than infinitely far away, at what position on the x-axis will a positive test charge experience a zero net force?

Q. An infinite number of identical charges, each

+ q coulomb

, are placed along

x-

x = 1 m, 3 m, 9 m, . . .

Calculate the electric field at the point

x = 0

due to these charges.

Q. Consider two identical charges placed at a distance

2 d

apart, along x-axis. The equilibrium of a positive test charge placed at the point

O

midway between them is:

Q. Assertion :Consider two identical charges placed at a distance 2d apart, along the x-axis. The state of equilibrium of a positive test charge placed at the point O midway between them is stable for displacements along the x-axis. Reason: Force on test charge is zero.

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